http://d1c25a6gwz7q5e.cloudfront.net/papers/67.pdf

Efficiency of financial institutions: International survey and directions for future research

Since the original Data Envelopment Analysis (DEA) study by Charnes et al. [Measuring the efficiency of decision-making units. European Journal of Operational Research 1978;2(6):429–44], there has been rapid and continuous growth in the field. As a result, a considerable amount of published research has appeared, with a significant portion focused on DEA applications of efficiency and productivity in both public and private sector activities. While several bibliographic collections have been reported, a comprehensive listing and analysis of DEA research covering its first 30 years of history is not available. This paper thus presents an extensive, if not nearly complete, listing of DEA research covering theoretical developments as well as “real-world” applications from inception to the year 2007. A listing of the most utilized/relevant journals, a keyword analysis, and selected statistics are presented.

Evaluation of research in efficiency and productivity:a survey and analysis of the first 30 years of scholarly literature in DEA

In this study, we consider facility location decisions for a humanitarian relief chain responding to quick-onset disasters. In particular, we develop a model that determines the number and locations of distribution centres in a relief network and the amount of relief supplies to be stocked at each distribution centre to meet the needs of people affected by the disasters. Our model, which is a variant of the maximal covering location model, integrates facility location and inventory decisions, considers multiple item types, and captures budgetary constraints and capacity restrictions. We conduct computational experiments to illustrate how the proposed model works on a realistic problem. Results show the effects of pre- and post-disaster relief funding on relief system's performance, specifically on response time and the proportion of demand satisfied. Finally, we discuss the managerial implications of the proposed model.

https://www.tandfonline.com/doi/pdf/10.1080/13675560701561789

Facility location in humanitarian relief

The purpose of this paper is to briefly trace the evolution of DEA from the initial publication by Charnes et al. (1978b) to the current state of the art (SOA). The state of development of DEA is characterized at four points in time to provide a perspective in both directions—past and future. An evolution map is provided which illustrates DEA growth during the 17-year period, the timing of the major events, and the interconnections and influences between topics. An extensive DEA bibliography is provided.

Data envelopment analysis: The evolution of the state of the art (1978–1995)

Survey: Covering problems in facility location: A review

Because of their widespread applicability, the set covering location problem and the maximal covering location problem have received considerable attention in the facility-location literature. There have been many extensions and modifications to these problems as they have been applied to various planning scenarios. A basic underlying assumption of the location-covering models formulated to date is that the facilities being sited are uncapacitated. Although this assumption is valid in many location-planning settings, there certainly exist situations in which this assumption severely limits the application of covering models. Capacitated versions of the set covering location problem and the maximal covering location problem have thus been formulated.In addition, the theoretical links between these models and the capacitated plant location problem, the capacitated p-median problem and, the generalized assignment problem are shown. By exploiting these links, planners can solve small and moderately sized real...

Capacitated Covering Models

Facility siting models known as location covering techniques have proven to be useful particularly for emergency medical services (EMS) planning, given the importance of ambulances responding to demand within some maximum time constraint. These models represent a set of methods which focus the health planner's attention on the access of people to health care, since they attempt to “cover” people in need of service within some specified time standard. This research develops a technique for the locational planning of sophisticated EMS systems, characterized by multiple levels of emergency health services. Specifically, a two-tiered system with “basic life support” and “advanced life support” capabilities is modeled as a goal program. By applying location covering techniques within a goal programming framework, this study develops a method for the siting of multilevel EMS systems so that (1) each service level maximizes coverage of its own demand population, and (2) “back-up” coordination between levels is assured. The usefulness of this goal program as a health planning tool is evidenced in the model's explicit articulation of EMS policy objectives and its ability to link system levels in terms of “goal-directed behavior”. The working of this multilevel covering model is demonstrated by reference to EMS planning scenarios and related numerical examples.

A goal programming model for the siting of multilevel EMS systems

During the last two decades there has been wide application of goal programming. Despite this popularity, goal programming theories have been extensively criticized. Although some criticism may originate from the valid assessment of goal programming, large portions of the criticism seem to stem from confusions and misconceptions in underlying goal programming theories. In this paper, the origin of critical views on goal programming is uncovered and synthesized, to set the stage for a balanced discussion of the pros and cons of goal programming. Through such a discussion, the critical points are validated and, if necessary, some possible remedies for the weakness of goal programming are sought. Hence, the major intent of this paper is to provide a variety of future research ideas which, it is hoped, lend themselves to the further development and application of goal programming rather than provoking any controversies surrounding goal programming.

On the Origin and Persistence of Misconceptions in Goal Programming

The economic goals and the resulting locational objectives of a franchisor and its individual franchisees are frequently in conflict. For example, one goal of the franchisor is to maximize system-wide market coverage, while the corresponding goal of the franchisee is to maximize his or her individual market share. Consequently, the optimal facility siting scheme from one perspective may be suboptimal from the other. That is, the facility siting scheme which maximizes system-wide coverage will not necessarily maximize the market shares of the individual franchises which make up the system. In this paper we introduce a multiobjective integer programming model to design franchise networks. The model selects franchise locations and identifies individual franchise market areas. Constraints in the formulation guarantee that all franchise locations are assigned at least a minimal threshold market area with sufficient demand to ensure economic survival. An underlying assumption of the model is that a rationing mechanism exists to assign demand to various franchise locations. Consequently, the model is most appropriate for service delivery franchises in which the franchisor can define and enforce exclusive franchise territories for the various franchise outlets. The purpose of this model is to generate alternative siting configurations which demonstrate the inherent trade-offs between the objectives of the franchisor and the individual franchisees. Given these various location alternatives, it is expected that the franchisor will then evaluate them in terms of other criteria such as the likelihood of the individual franchisee's success, pricing strategies for the various sites, total costs, total profit, and the effects of the response of competitors. Consequently, the proposed model should be viewed as an aid for one aspect of the decision process, i.e. the generation of alternative courses of action.

https://link.springer.com/content/pdf/10.1057%2Fjors.1994.8.pdf

A Multiobjective Approach to Design Franchise Outlet Networks

This paper presents a goal programming approach to location covering and contrasts the resultant models with other covering formulations One of the primary differences between the models forwarded in this paper and those of previous studies in the notion of slack and natural slack in the definition of coverage relations Our approach takes advantage of the latter concept, natural slack, and produces a location covering form which is more flexible in the determination of objective functions than that of other formulations Furthermore, we show how the goal programming framework adopted herein allows consideration of a wider range of location covering policy issues

James E. Storbeck

Papers

Capacitated Covering Models

A goal programming model for the siting of multilevel EMS systems

On the Origin and Persistence of Misconceptions in Goal Programming

A Multiobjective Approach to Design Franchise Outlet Networks

Slack, natural slack, and location covering☆